A Relativistic Wkb Method For Bound-States Of An Electron In Screened Coulomb Potentials .2. Examination Of The Wave-Function

The validity of the relativistic WKB method proposed in a previous paper [J. Phys. Soc. Jpn. 60 (1991) 850] is examined for bound states of an electron in screened Coulomb potential. To this end the radial Dirac equation is solved both exactly and approximately for a model potential of a simple analytic form and the results are compared. Through a detailed comparison, it is shown that the relativistic WKB method gives energies and wavefunctions which are in good agreement with the exact. Several features in the relativistic WKB wavefunctions are also pointed out.